Equicontinuity of mean quasiconformal mappings
type: Item
instance of: scholarly article
title: Equicontinuity of mean quasiconformal mappings
zbMATH Open document ID: 1234.30022
DOI: 10.1134/S0037446611030153
published in: Siberian Mathematical Journal
publication date: 2011-10-25T00:00:00Z
review text: In the article under review, the authors continue the study of ring \(Q\)-homeomorphisms. These are mappings which generalize the notion of quasiconformality. In particular, the authors find sufficient conditions for the family of ring \(Q\)-homeomorphisms which satisfy an integral-type restriction \(\int \Phi ( Q(x)) dm(x) < \infty\) on a domain in \(\mathbb{R}^n\), \(n \geq 2\), to form an equicontinuous and normal family. Further, the authors show that these conditions turn out to be necessary.
reviewed by: Alastair Fletcher
Mathematics Subject Classification ID: 30C65
Mathematics Subject Classification ID: 30D45
zbMATH DE Number: 5963619
zbMATH Keywords: equicontinuity
zbMATH Keywords: normal family
zbMATH Keywords: mean quasiconformal mapping
zbMATH Keywords: Sobolev class
author: Vladimir I. Ryazanov
author: Evgeny Sevost'yanov
MaRDI profile type: Publication
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full work available at URL: s0037446611030153
OpenAlex ID: W2069563832
description: scientific article; zbMATH DE number 5963619